Parse::RecDescent demo fails hello.c !?

[kynn]

[ I originally posted this in comp.lang.perl.modules.  A responder
  suggested I sent it to this address. ]

I'm trying to learn how to use Parse::RecDescent, so I tried the
script demo_Cgrammar.pl that comes with the Parse::RecDescent
distribution with Kernighan & Ritchie's canonical hello.c as input.
Here's what I get:

  $ cat hello.c
  #include <stdio.h>

  main()
  {
      printf("Hello, world.\n");
  }

  $ cc hello.c -o hello
  $ hello
  Hello, world.
  $ perl demo_Cgrammar.pl hello.c
  bad C code at ./demo_Cgrammar.pl line 13, <> chunk 1.

Here's the gist of demo_Cgrammar.pl:
  use Parse::RecDescent;
  
  local $/;
  my $grammar = <DATA>;
  my $parser = Parse::RecDescent->new($grammar);
  
  my $text = <>;
  
  $tree = $parser->translation_unit($text) or die "bad C code";
  
  use Data::Dumper 'Dumper';
  print Dumper [ $tree ];

  __DATA__

  # C grammar, omitted

  ...


Is this a bug in RecDescent, or in demo_Cgrammar.pl?

TIA,

        -Irv